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Browsing by Subject "half-linear oscillation theory"

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    Item type:Article, Access status: Open Access ,
    A remark on the linearization technique in half-linear oscillation theory
    (2006) Došlý, Ondřej
    We show that oscillatory properties of the half-linear second order differential equation $(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\qquad\Phi(x)=|x|^{p-2}x,\quad p\gt 1,$ can be investigated via oscillatory properties of a certain associated second order linear differential equation. In contrast to paper [6], we do not need to distinguish between the cases $p\ge 2$ and $p\in (1,2]$. Our results also improve the oscillation and nonoscillation criteria given in [4].